Understanding the Weak Interaction: What Causes It & What is Its Range?

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The weak interaction is mediated by W and Z bosons, which are massive, leading to its short range. The range of this interaction is a concept from quantum field theory (QFT), where massive force carriers result in a force that falls off more quickly than the inverse square law. While the electroweak theory explains the weak interaction, the fundamental reasons for its validity remain unknown. Gauge symmetry is considered a foundational aspect of the standard model, yet questions about its truth persist. Ultimately, the complexities of these interactions highlight the ongoing mysteries in particle physics.
mokeejoe5
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Recently it struck me that I'm not sure I understand the weak interaction at all. What causes it to happen? I know that its mediated by the W and Z bosons and has a short range as a result of the large mass these bosons posses, but what does that range refer to? Range from what?!
 
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Its a predicted by the electroweak theory so your query is - why is the electroweak theory true.

The answer is - we don't know.

That said what is called gauge invariance has shed a lot of light on it, to the point gauge symmetry is considered to lie at the foundation of all the fundamental interactions of the standard model:
http://pauli.uni-muenster.de/tp/fileadmin/lehre/skripte/muenster/Gauge-theories.pdf

The range of a force is a concept from QFT. If the force carrier has zero mass you get an inverse square law like EM and gravity - such is called long range. If they have mass then it falls off quicker than inverse square (if I recall correctly exponentially - but don't hold me to it) and are called short range.

Thanks
Bill
 
bhobba said:
Its a predicted by the electroweak theory so your query is - why is the electroweak theory true.

The answer is - we don't know.

That said what is called gauge invariance has shed a lot of light on it, to the point gauge symmetry is considered to lie at the foundation of all the fundamental interactions of the standard model:
http://pauli.uni-muenster.de/tp/fileadmin/lehre/skripte/muenster/Gauge-theories.pdf

The range of a force is a concept from QFT. If the force carrier has zero mass you get an inverse square law like EM and gravity - such is called long range. If they have mass then it falls off quicker than inverse square (if I recall correctly exponentially - but don't hold me to it) and are called short range.

Thanks
Bill

So we don't know what causes it only that it happens? Why assign a range to it then, surely that's meaningless? I ask because I watched a video on YouTube that claimed its caused by bosons inside neutrinos ,when they get within a certain range, interacting with quarks in hadrons, and I was pretty sure that wasn't the case.
 
mokeejoe5 said:
So we don't know what causes it only that it happens? Why assign a range to it then, surely that's meaningless? I ask because I watched a video on YouTube that claimed its caused by bosons inside neutrinos ,when they get within a certain range, interacting with quarks in hadrons, and I was pretty sure that wasn't the case.

Of course we know what causes it - it is explained by the Electroweak theory. What we don't know is why the electroweak theory is true - it just is. However gauge symmetry gives it a very elegant foundation - but the question then is - why is gauge symmetry true - it very elegant and beautiful - which is aesthetically pleasing - but that doesn't tell us why. In science there are always unexplained things. If you explain some thing in terms of other things then all you have done is have a different foundation.

I don't know anything about bosons inside neutrinos etc. It quite possible you have come across some crank claims, but usually cranks don't make videos so I think its just something that was misinterpreted.

Thanks
Bill
 
Time reversal invariant Hamiltonians must satisfy ##[H,\Theta]=0## where ##\Theta## is time reversal operator. However, in some texts (for example see Many-body Quantum Theory in Condensed Matter Physics an introduction, HENRIK BRUUS and KARSTEN FLENSBERG, Corrected version: 14 January 2016, section 7.1.4) the time reversal invariant condition is introduced as ##H=H^*##. How these two conditions are identical?

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